[Video] Secret to Spurs offense

[spurraider21]

Bballbreakdown is probably my favorite basketball channel on youtube, where this guy does in depth analysis of either various teams offensive systems, or intense recaps of how games went down. Here he looked over most of the Spurs offensive sets. Does a pretty great job if you ask me.

hmlIRobedyg&feature=g-u-u
http://www.youtube.com/watch?v=hmlIRobedyg&feature=g-u-u

[Solid D]

Nice! Thanks for posting it, spurraider21.

[DBMethos]

Cool vid! It'd be nice if the Spurs made more of those shots, though. :lol

[Yuixafun]

Excellent find!

I have the same sense cheerful wonder as I did when Stephen Jackson said in his post game interview that he read the last play Jazz tried to run just enough to break it up...

I knew the Spurs offense was splendid, but I'm seeing the why and the design, it's a delightful treat!

[silverblackfan]

Good video and great find.
Thanks

[RuffnReadyOzStyle]

Great stuff. Thanks! :tu

Gotta love that interchangeable offence!

[DMC]

I like the breakdown, and how coach ignores the results of the shots. It's the looks he's talking about. While "pundits" on the big networks only show plays that result in points, this guy is showing how the offense runs, and I don't know what the defense can really do about it.

[TampaDude]

When the Spurs are executing their game plan properly, there's no team that can beat them. The only team that can stop the Spurs this year is the Spurs.

[DesignatedT]

:tu

[DMC]

Here's the secret though:

This formula can be interpreted as saying that the function eix traces out the unit circle (http://en.wikipedia.org/wiki/Unit_circle) in the complex number (http://en.wikipedia.org/wiki/Complex_number) plane as x ranges through the real numbers. Here, x is the angle (http://en.wikipedia.org/wiki/Angle) that a line connecting the origin with a point on the unit circle makes with the positive real axis, measured counter clockwise and in radians (http://en.wikipedia.org/wiki/Radian).
The original proof is based on the Taylor series (http://en.wikipedia.org/wiki/Taylor_series) expansions of the exponential function (http://en.wikipedia.org/wiki/Exponential_function) ez (where z is a complex number) and of sin x and cos x for real numbers x (see below). In fact, the same proof shows that Euler's formula is even valid for all complex numbers z.
A point in the complex plane (http://en.wikipedia.org/wiki/Complex_plane) can be represented by a complex number written in cartesian coordinates (http://en.wikipedia.org/wiki/Coordinates_%28elementary_mathematics%29#Cartesian _coordinates). Euler's formula provides a means of conversion between cartesian coordinates and polar coordinates (http://en.wikipedia.org/wiki/Coordinates_%28elementary_mathematics%29#Polar_coo rdinates). The polar form simplifies the mathematics when used in multiplication or powers of complex numbers. Any complex number z = x + iy can be written as
http://upload.wikimedia.org/wikipedia/en/math/7/8/1/7810bad1ee2b17aa0dd72367a6bedb76.pnghttp://upload.wikimedia.org/wikipedia/en/math/b/e/d/bed70edded9a2416c0940cb96a58c195.png where
http://upload.wikimedia.org/wikipedia/en/math/0/4/b/04bfad7c61a5331cbec6c2f135acbbf4.png the real parthttp://upload.wikimedia.org/wikipedia/en/math/5/c/8/5c883511f99eec9c89974418a5f43fbb.png the imaginary parthttp://upload.wikimedia.org/wikipedia/en/math/f/0/9/f0907d1b0d46bfc2feb205f6a2154e1d.png the magnitude (http://en.wikipedia.org/wiki/Magnitude_%28mathematics%29) of zhttp://upload.wikimedia.org/wikipedia/en/math/f/1/9/f19b678734154067129c05ae4008bf0f.png atan2 (http://en.wikipedia.org/wiki/Atan2)(y, x) . http://upload.wikimedia.org/wikipedia/en/math/c/d/0/cd014731964c742c274df08d7cc238fb.png is the argument (http://en.wikipedia.org/wiki/Arg_%28mathematics%29) of z—i.e., the angle between the x axis and the vector z measured counterclockwise and in radians (http://en.wikipedia.org/wiki/Radian)—which is defined up to (http://en.wikipedia.org/wiki/Up_to) addition of 2π. Many texts write tan−1(y/x) instead of atan2(y,x) but this needs adjustment when x ≤ 0.
Now, taking this derived formula, we can use Euler's formula to define the logarithm (http://en.wikipedia.org/wiki/Logarithm) of a complex number. To do this, we also use the definition of the logarithm (as the inverse operator of exponentiation) that
http://upload.wikimedia.org/wikipedia/en/math/c/0/5/c05d49bff301675814ed12b27f237d89.png and that
http://upload.wikimedia.org/wikipedia/en/math/1/b/6/1b630f30ff74d1eee33a0d84b7c7aeb8.png both valid for any complex numbers a and b.
Therefore, one can write:
http://upload.wikimedia.org/wikipedia/en/math/1/8/0/1804780755af2618fa7175f62e271d33.png for any z ≠ 0. Taking the logarithm of both sides shows that:
http://upload.wikimedia.org/wikipedia/en/math/b/8/5/b852751e5a5e429b52a18d04019c4334.png and in fact this can be used as the definition for the complex logarithm (http://en.wikipedia.org/wiki/Complex_logarithm). The logarithm of a complex number is thus a multi-valued function (http://en.wikipedia.org/wiki/Multi-valued_function), because http://upload.wikimedia.org/wikipedia/en/math/7/f/2/7f20aa0b3691b496aec21cf356f63e04.png is multi-valued.
Finally, the other exponential law
http://upload.wikimedia.org/wikipedia/en/math/8/7/7/87739e76a47aeaa7c26559fd2cd505c9.png which can be seen to hold for all integers k, together with Euler's formula, implies several trigonometric identities (http://en.wikipedia.org/wiki/Trigonometric_identity) as well as de Moivre's formula (http://en.wikipedia.org/wiki/De_Moivre%27s_formula).




That's the shortened version, just one play though.

[Splits]

Euler is a chump and a fraud.

[DJB]

Well now it's no secret...

[Splits]

Want to know the real secret?

http://img.photobucket.com/albums/v511/dhamal/lakersplayoffs.jpg

[dunkman]

Pop has became an master of offense, which is amazing, because he was always regarded as an defensive coach before.

[angelbelow]

Awesome, thanks for the share.

[100%duncan]

Good shit. I've never fully realized how much Pop relies on screens in our offense until this video. Just made me love our offense and Pop more. :tu

[cherylsteele]

Pop has became an master of offense, which is amazing, because he was always regarded as an defensive coach before.
And the Spurs are leading the playoff teams in FG% defense, which is indicating the defense is getting there which makes them even more hard to beat.

BTW nice video.

[GSH]

Here's the secret though:

This formula can be interpreted as saying that the function eix traces out the unit circle (http://en.wikipedia.org/wiki/Unit_circle) in the complex number (http://en.wikipedia.org/wiki/Complex_number) plane as x ranges through the real numbers. Here, x is the angle (http://en.wikipedia.org/wiki/Angle) that a line connecting the origin with a point on the unit circle makes with the positive real axis, measured counter clockwise and in radians (http://en.wikipedia.org/wiki/Radian).
The original proof is based on the Taylor series (http://en.wikipedia.org/wiki/Taylor_series) expansions of the exponential function (http://en.wikipedia.org/wiki/Exponential_function) ez (where z is a complex number) and of sin x and cos x for real numbers x (see below). In fact, the same proof shows that Euler's formula is even valid for all complex numbers z.
A point in the complex plane (http://en.wikipedia.org/wiki/Complex_plane) can be represented by a complex number written in cartesian coordinates (http://en.wikipedia.org/wiki/Coordinates_%28elementary_mathematics%29#Cartesian _coordinates). Euler's formula provides a means of conversion between cartesian coordinates and polar coordinates (http://en.wikipedia.org/wiki/Coordinates_%28elementary_mathematics%29#Polar_coo rdinates). The polar form simplifies the mathematics when used in multiplication or powers of complex numbers. Any complex number z = x + iy can be written as
http://upload.wikimedia.org/wikipedia/en/math/7/8/1/7810bad1ee2b17aa0dd72367a6bedb76.pnghttp://upload.wikimedia.org/wikipedia/en/math/b/e/d/bed70edded9a2416c0940cb96a58c195.png where
http://upload.wikimedia.org/wikipedia/en/math/0/4/b/04bfad7c61a5331cbec6c2f135acbbf4.png the real parthttp://upload.wikimedia.org/wikipedia/en/math/5/c/8/5c883511f99eec9c89974418a5f43fbb.png the imaginary parthttp://upload.wikimedia.org/wikipedia/en/math/f/0/9/f0907d1b0d46bfc2feb205f6a2154e1d.png the magnitude (http://en.wikipedia.org/wiki/Magnitude_%28mathematics%29) of zhttp://upload.wikimedia.org/wikipedia/en/math/f/1/9/f19b678734154067129c05ae4008bf0f.png atan2 (http://en.wikipedia.org/wiki/Atan2)(y, x) . http://upload.wikimedia.org/wikipedia/en/math/c/d/0/cd014731964c742c274df08d7cc238fb.png is the argument (http://en.wikipedia.org/wiki/Arg_%28mathematics%29) of z—i.e., the angle between the x axis and the vector z measured counterclockwise and in radians (http://en.wikipedia.org/wiki/Radian)—which is defined up to (http://en.wikipedia.org/wiki/Up_to) addition of 2π. Many texts write tan−1(y/x) instead of atan2(y,x) but this needs adjustment when x ≤ 0.
Now, taking this derived formula, we can use Euler's formula to define the logarithm (http://en.wikipedia.org/wiki/Logarithm) of a complex number. To do this, we also use the definition of the logarithm (as the inverse operator of exponentiation) that
http://upload.wikimedia.org/wikipedia/en/math/c/0/5/c05d49bff301675814ed12b27f237d89.png and that
http://upload.wikimedia.org/wikipedia/en/math/1/b/6/1b630f30ff74d1eee33a0d84b7c7aeb8.png both valid for any complex numbers a and b.
Therefore, one can write:
http://upload.wikimedia.org/wikipedia/en/math/1/8/0/1804780755af2618fa7175f62e271d33.png for any z ≠ 0. Taking the logarithm of both sides shows that:
http://upload.wikimedia.org/wikipedia/en/math/b/8/5/b852751e5a5e429b52a18d04019c4334.png and in fact this can be used as the definition for the complex logarithm (http://en.wikipedia.org/wiki/Complex_logarithm). The logarithm of a complex number is thus a multi-valued function (http://en.wikipedia.org/wiki/Multi-valued_function), because http://upload.wikimedia.org/wikipedia/en/math/7/f/2/7f20aa0b3691b496aec21cf356f63e04.png is multi-valued.
Finally, the other exponential law
http://upload.wikimedia.org/wikipedia/en/math/8/7/7/87739e76a47aeaa7c26559fd2cd505c9.png which can be seen to hold for all integers k, together with Euler's formula, implies several trigonometric identities (http://en.wikipedia.org/wiki/Trigonometric_identity) as well as de Moivre's formula (http://en.wikipedia.org/wiki/De_Moivre%27s_formula).




That's the shortened version, just one play though.


HAHAHA... amateur! That's the formula for their defense.

[bklynspursfan]

Good stuff!

I like how they went to Tim on the first possessions in Utah to kind of quiet that crowd. I love seeing the game plan adjust from game to game.

[spurraider21]

Thanks for the great feedback, guys. On top of it, if you all caught what he mentioned in the beginning about having a Spurs fan on the show, I sent him a response and he told me I got the gig, so I'll be representing Spurs nation on his channel in a debate vs a Clippers/Grizz fan (depending on outcome of the series).

[urunobili]

great find! thanks for sharing!

[Bill_Brasky]

Really, really good work there. I loved Manu recognizing that Bonner was wide open and faking the pass to get the easy layup.

And that last Tiago screen and roll.....in transition!!

[CoachNick]

Awesome conversation, everybody! Stay tuned for lots more Spurs breakdowns throughout the playoffs.

Coach Nick
http://bballbreakdown.com

[Dingle Barry]

Really good stuff, CoachNick. I'll be subscribing. Welcome to ST, as well.

[flipspursfan]

Awesome conversation, everybody! Stay tuned for lots more Spurs breakdowns throughout the playoffs.

Coach Nick
http://bballbreakdown.com

Been watching your analyses for a long time now Coach Nick. Looking forward to watching your future videos.:toast

[BoricuaCJA]

Awesome conversation, everybody! Stay tuned for lots more Spurs breakdowns throughout the playoffs.

Coach Nick
http://bballbreakdown.com
Love your videos. If this is actually you, I appreciate your work. Showing people plays where they take a good shot even if they miss is a lot better than showing only highlights of made baskets that every sports show or channel shows.